What is the derivative of e^{tan(x}) ?

The derivative of e^{tan(x}) is e^{tan(x)}sec^2(x)

What is the first derivative of e^{tan(x}) ?

The first derivative of e^{tan(x}) is e^{tan(x)}sec^2(x)

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\frac{d}{d x} (e^{t a n (x)})

e^{t a n (x)} sec^{2} (x)

Solution steps

\frac{d}{d x} (e^{t a n (x)})

Apply the chain rule:

e^{t a n (x)} \frac{d}{d x} (tan (x))

= e^{t a n (x)} \frac{d}{d x} (tan (x))

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= e^{t a n (x)} sec^{2} (x)

\frac{d}{d x} (x 400 - x^{2})

5 y^{^{'}} + 15 y = 375, y (0) = 0

e^{x}, 1

n = 0 \sum \infty - \frac{n}{2 ^{n}}

x^{4} - 2 x^{2}, 2 x^{2}

What is the derivative of e^{tan(x}) ?
The derivative of e^{tan(x}) is e^{tan(x)}sec^2(x)
What is the first derivative of e^{tan(x}) ?
The first derivative of e^{tan(x}) is e^{tan(x)}sec^2(x)